Finding the Third Proportional to 178,365 and 269,059.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,365 : 269,059.50 = 269,059.50 : x
2. Step 2: Convert to fraction form
   178,365/269,059.50 = 269,059.50/x
3. Step 3: Cross multiply
   178,365x = 269,059.50 × 269,059.50
4. Step 4: Simplify right side
   178,365x = 72,393,014,540.25
5. Step 5: Solve for x
   x = 72,393,014,540.25/178,365
6. Step 6: Final answer
   x = 405,870.07